Lesson: Introduction to Circles - Tangents, Arcs, & Chords

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Presentation transcript:

Lesson: Introduction to Circles - Tangents, Arcs, & Chords Unit 9: Circles Lesson: Introduction to Circles - Tangents, Arcs, & Chords Essential Questions: How are the angles and arcs in a circle related? How can you find the measure of angles, arcs, & chords when lines intersect a circle?

Circles Goals: To use properties of tangents. To use congruent chords, arcs, & angles and perpendicular bisectors of chords in a circle. Essential Understandings: A tangent to a circle is perpendicular to the radius at the point of tangency. Congruent parts of circles create congruent relationships with related parts.

Circles http://psn.virtualnerd.com/viewtutorial/Geo_10_02_0001 Goals: To use properties of tangents. To use congruent chords, arcs, & angles and perpendicular bisectors of chords in a circle. Essential Understandings: A tangent to a circle is perpendicular to the radius at the point of tangency. Congruent parts of circles create congruent relationships with related parts.

Circles Goals: To use properties of tangents. To use congruent chords, arcs, & angles and perpendicular bisectors of chords in a circle. Essential Understandings: A tangent to a circle is perpendicular to the radius at the point of tangency. Congruent parts of circles create congruent relationships with related parts.

Circles Goals: To use properties of tangents. To use congruent chords, arcs, & angles and perpendicular bisectors of chords in a circle. Essential Understandings: A tangent to a circle is perpendicular to the radius at the point of tangency. Congruent parts of circles create congruent relationships with related parts.

Circles Goals: To use properties of tangents. To use congruent chords, arcs, & angles and perpendicular bisectors of chords in a circle. Essential Understandings: A tangent to a circle is perpendicular to the radius at the point of tangency. Congruent parts of circles create congruent relationships with related parts.

Circles Goals: To use properties of tangents. To use congruent chords, arcs, & angles and perpendicular bisectors of chords in a circle. Essential Understandings: A tangent to a circle is perpendicular to the radius at the point of tangency. Congruent parts of circles create congruent relationships with related parts.

Circles http://psn.virtualnerd.com/viewtutorial/Geo_10_01_0008 Goals: To use properties of tangents. To use congruent chords, arcs, & angles and perpendicular bisectors of chords in a circle. Essential Understandings: A tangent to a circle is perpendicular to the radius at the point of tangency. Congruent parts of circles create congruent relationships with related parts.

Circles Goals: To use properties of tangents. To use congruent chords, arcs, & angles and perpendicular bisectors of chords in a circle. Essential Understandings: A tangent to a circle is perpendicular to the radius at the point of tangency. Congruent parts of circles create congruent relationships with related parts.

Circles Goals: To use properties of tangents. To use congruent chords, arcs, & angles and perpendicular bisectors of chords in a circle. Essential Understandings: A tangent to a circle is perpendicular to the radius at the point of tangency. Congruent parts of circles create congruent relationships with related parts.

Circles Goals: To use properties of tangents. To use congruent chords, arcs, & angles and perpendicular bisectors of chords in a circle. Essential Understandings: A tangent to a circle is perpendicular to the radius at the point of tangency. Congruent parts of circles create congruent relationships with related parts.

Circles Goals: To use properties of tangents. To use congruent chords, arcs, & angles and perpendicular bisectors of chords in a circle. Essential Understandings: A tangent to a circle is perpendicular to the radius at the point of tangency. Congruent parts of circles create congruent relationships with related parts.

Circles Goals: To use properties of tangents. To use congruent chords, arcs, & angles and perpendicular bisectors of chords in a circle. Essential Understandings: A tangent to a circle is perpendicular to the radius at the point of tangency. Congruent parts of circles create congruent relationships with related parts.

Circles http://psn.virtualnerd.com/viewtutorial/Geo_10_01_0001 Goals: To use properties of tangents. To use congruent chords, arcs, & angles and perpendicular bisectors of chords in a circle. Essential Understandings: A tangent to a circle is perpendicular to the radius at the point of tangency. Congruent parts of circles create congruent relationships with related parts.

Circles Goals: To use properties of tangents. To use congruent chords, arcs, & angles and perpendicular bisectors of chords in a circle. Essential Understandings: A tangent to a circle is perpendicular to the radius at the point of tangency. Congruent parts of circles create congruent relationships with related parts.

Circles Goals: To use properties of tangents. To use congruent chords, arcs, & angles and perpendicular bisectors of chords in a circle. Essential Understandings: A tangent to a circle is perpendicular to the radius at the point of tangency. Congruent parts of circles create congruent relationships with related parts.

Circles Goals: To use properties of tangents. To use congruent chords, arcs, & angles and perpendicular bisectors of chords in a circle. Essential Understandings: A tangent to a circle is perpendicular to the radius at the point of tangency. Congruent parts of circles create congruent relationships with related parts.

Circles Goals: To use properties of tangents. To use congruent chords, arcs, & angles and perpendicular bisectors of chords in a circle. Essential Understandings: A tangent to a circle is perpendicular to the radius at the point of tangency. Congruent parts of circles create congruent relationships with related parts.

Circles Construct the center of a circle, then measure its radius to the nearest tenth of a centimeter. First, construct two congruent chords. Second, construct the perpendicular bisectors of the chords. The center of the circle is the intersection of the two perpendicular bisectors. Goals: To use properties of tangents. To use congruent chords, arcs, & angles and perpendicular bisectors of chords in a circle. Essential Understandings: A tangent to a circle is perpendicular to the radius at the point of tangency. Congruent parts of circles create congruent relationships with related parts.

Circles Goals: To use properties of tangents. To use congruent chords, arcs, & angles and perpendicular bisectors of chords in a circle. Essential Understandings: A tangent to a circle is perpendicular to the radius at the point of tangency. Congruent parts of circles create congruent relationships with related parts.

Circles Goals: To use properties of tangents. To use congruent chords, arcs, & angles and perpendicular bisectors of chords in a circle. Essential Understandings: A tangent to a circle is perpendicular to the radius at the point of tangency. Congruent parts of circles create congruent relationships with related parts.

Circles Goals: To use properties of tangents. To use congruent chords, arcs, & angles and perpendicular bisectors of chords in a circle. Essential Understandings: A tangent to a circle is perpendicular to the radius at the point of tangency. Congruent parts of circles create congruent relationships with related parts.

Soldis Homework: Worksheets 12.1 & 12.2 Select Problems